Pith Number

pith:GGGKOIBV

pith:2015:GGGKOIBVRVZ7FHU5HGJMQNHEQJ

not attested not anchored not stored refs pending

Noetherianity and rooted trees

Daniel Barter

arxiv:1509.04228 v1 · 2015-09-14 · math.RT · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GGGKOIBVRVZ7FHU5HGJMQNHEQJ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:33:08.017689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

318ca720358d73f29e9d3992c834e48241ff1062090e40699ff6fed541a3a7eb

Aliases

arxiv: 1509.04228 · arxiv_version: 1509.04228v1 · doi: 10.48550/arxiv.1509.04228 · pith_short_12: GGGKOIBVRVZ7 · pith_short_16: GGGKOIBVRVZ7FHU5 · pith_short_8: GGGKOIBV

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/GGGKOIBVRVZ7FHU5HGJMQNHEQJ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 318ca720358d73f29e9d3992c834e48241ff1062090e40699ff6fed541a3a7eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3fb40647868a91a2325f694b3bcd2a349bfb7013a6e048ec1cfe6e91c034e9f4",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-09-14T18:16:35Z",
    "title_canon_sha256": "b586fae12f8d0561c4126f77c5d4a77845704559161e078299a367830b647e38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.04228",
    "kind": "arxiv",
    "version": 1
  }
}